Moments of the Riemann zeta-function

Preprint

8 February 2008

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0612106

Abstract

Assuming the Riemann Hypothesis we obtain an upper bound for the moments of the Riemann zeta-function on the critical line. Our bound is nearly as sharp as the conjectured asymptotic formulae for these moments. The method extends to moments in families of $L$-functions.

Keywords

RIEMANN ZETA FUNCTION
ASYMPTOTIC FORMULAE
RIEMANN HYPOTHESIS
FUNCTION ASSUMING
ZETA FUNCTION
FORMULAE
MOMENTS

All Related Versions

Version 1, 2006-12-04, ArXiv
Version 2, 2008-02-08, ArXiv

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